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Representative questions of interest include the existence and number of fixed points of transition functions of finite cellular automata. In this paper we shall show some results about the above ques...tions for finite cellular automata GS (m) with dynamics of Gauss-Seidel type, that is, (a) The length of maximum cycle of state diagram of a finite cellular automaton GS (m) is a linear function of the number m of sites, and (b) The forms of fixed points of transition function vary with boundary conditions of the automata.続きを見る
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